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Finding the Fourth Proportional to 927.95, 1,392.10 and 495.59

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Solution

The fourth proportional to 927.95, 1,392.10 and 495.59 is: 743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.95 : 1,392.10 = 495.59 : x
  2. Step 2: Convert to fraction form
    927.95/1,392.10 = 495.59/x
  3. Step 3: Cross multiply
    927.95x = 1,392.10 × 495.59
  4. Step 4: Simplify right side
    927.95x = 689,902.64
  5. Step 5: Solve for x
    x = 689,902.64/927.95
  6. Step 6: Final answer
    x = 743.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.